Ricky jogs 5 laps around a track in 8 minutes. Which of the following would be the same number of laps per minute?
2 answers:
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LN = 120 and a = 10
<u>Step-by-step explanation:</u>
If we need to find the variable a as, LN is the line and M is the mid point between L and N. So LN = LM + MN
LM = 4a = 40
a = = 10
MN = 8a = 8×10 = 80
So LN = LM + MN
LN = 40 + 80 = 120
Answer:
Table D
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
<u><em>Verify each case</em></u>
<em>Table A</em>
For x=1, y=3
Find the value of k
----->
For x=2, y=9
Find the value of k
----->
the values of k are different
therefore
The table A not represent a direct variation
<em>Table B</em>
For x=1, y=-5
Find the value of k
----->
For x=2, y=5
Find the value of k
----->
the values of k are different
therefore
The table B not represent a direct variation
<em>Table C</em>
For x=1, y=-18
Find the value of k
----->
For x=2, y=-9
Find the value of k
----->
the values of k are different
therefore
The table A not represent a direct variation
<em>Table D</em>
For x=1, y=4
Find the value of k
----->
For x=2, y=8
Find the value of k
----->
For x=3, y=12
Find the value of k
----->
All the values of k are equal
therefore
The table D represent a direct variation or proportional relationship
The linear equation is